A little bit of both I think, but both were because she was so happy. She even thanked God(I assume) for having her little girl.
SPOILER**************
Like everyone else, I loved both movies, and I only have one complaint for the entire compilation. The ending fight between Beatrix and Bill needed to be more grand. The amount of build up and character development between the two demanded, in my opinion, a venom filled battle of epic proportions, which of course would end with the same result, and even in the same manner. I spent 2 hours soaking in every spoken word, investing myself in Bill's character, and Beatrix's love/hatred of him, that to have it over so quickly was a complete let down.
Now don't get me wrong, I don't think anything already in the movies should be changed or shortened, especially the dialogue. Tarantino had me hanging on every spoken word he had written. And Carradine's delivery and screen presence was amazing. I did not think he had the acting chops to pull that off, but by the end, I couldn't think of anyone else who could have been Bill. I just simply believe that, for what ever reason, artistic or otherwise, Tarantino shafted us on what should have been a mind blowing melee between 2 larger than life characters.
I have a feeling I'm going to get torn apart for this belief, but please be gentle